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Researcher
Karel Van Bockstal
Profile
Projects
Publications
Activities
Awards & Distinctions
66
Results
2024
A numerical scheme for solving an induction heating problem with moving non-magnetic conductor
Van Chien Le
Marian Slodicka
Karel Van Bockstal
A1
Journal Article
in
COMPUTERS & MATHEMATICS WITH APPLICATIONS
2024
An estimate for the multivariate Mittag-Leffler function
Frederick Maes
Karel Van Bockstal
C1
Conference
2024
Extended abstracts 2021/2022 : Ghent Analysis and PDE Seminar
Book editor
2024
Inverse source problems in thermoelasticity
Karel Van Bockstal
C1
Conference
2024
Logarithmic Sobolev inequalities of fractional order on noncommutative tori
Gihyun Lee
C1
Conference
2024
Modern problems in PDEs and applications : extended abstracts of the 2023 GAP Center Summer School
Book editor
2024
On inverse source problems for space-dependent sources in thermoelasticity
Frederick Maes
Karel Van Bockstal
C1
Conference
2024
On time‐fractional partial differential equations of time‐dependent piecewise constant order
Yavar Kian
Marian Slodicka
Éric Soccorsi
Karel Van Bockstal
U
Journal Article
in
Mathematical Methods in the Applied Sciences
2024
Performing particle image segmentation on an extremely small dataset
Marianna Chatzakou
Junqing Huang
Bogdan Parakhonskiy
Michael Ruzhansky
Andre Skirtach
Junnan Song
Xuechao Wang
C1
Conference
2024
2023
An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion-reaction equations with fixed delay
M.A. Zaky
Karel Van Bockstal
T.R. Taha
D. Suragan
A.S. Hendy
A1
Journal Article
in
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
2023
Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation
Frederick Maes
Karel Van Bockstal
A1
Journal Article
in
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
2023
On the Rothe-Galerkin spectral discretization for a class of variable fractional-order nonlinear wave equations
Karel Van Bockstal
Mahmoud A. Zaky
Ahmed Hendy
A1
Journal Article
in
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
2023
Space-dependent variable-order time-fractional wave equation : existence and uniqueness of its weak solution
Karel Van Bockstal
A.S. Hendy
M.A. Zaky
A1
Journal Article
in
QUAESTIONES MATHEMATICAE
2023
Theoretical and numerical aspects for the longtime behavior of nonlinear delay time Caputo fractional reaction-diffusion equations
Ahmed S. Hendy
Mahmoud A. Zaky
Karel Van Bockstal
A1
Journal Article
in
NONLINEAR DYNAMICS
2023
2022
A full discretization for the saddle-point approach of a degenerate parabolic problem involving a moving body
Van Chien Le
Marian Slodicka
Karel Van Bockstal
A1
Journal Article
in
APPLIED MATHEMATICS LETTERS
2022
A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions
A. S. Hendy
Karel Van Bockstal
A1
Journal Article
in
NUMERICAL ALGORITHMS
2022
A space-time discretization for an electromagnetic problem with moving non-magnetic conductor
Van Chien Le
Marian Slodicka
Karel Van Bockstal
A1
Journal Article
in
APPLIED NUMERICAL MATHEMATICS
2022
Advanced mathematical and numerical analysis of induction hardening of steel
Van Chien Le
Marian Slodicka
Karel Van Bockstal
Dissertation
2022
Existence of a weak solution to a nonlinear induction hardening problem with Leblond–Devaux model for a steel workpiece
Van Chien Le
Marian Slodicka
Karel Van Bockstal
A1
Journal Article
in
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
2022
Finite element method for the reconstruction of a time-dependent heat source in isotropic thermoelasticity systems of type-III
Karel Van Bockstal
Liviu Marin
A1
Journal Article
in
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
2022
On a reconstruction of a solely time-dependent source in a time-fractional diffusion equation with non-smooth solutions
A. S. Hendy
Karel Van Bockstal
A1
Journal Article
in
JOURNAL OF SCIENTIFIC COMPUTING
2022
On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction–diffusion equation with delay
Karel Van Bockstal
Mahmoud A. Zaky
Ahmed S. Hendy
A1
Journal Article
in
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
2022
The identification of a time-dependent source in a time-fractional diffusion equation with non-smooth solutions
Karel Van Bockstal
C3
Conference
2022
Uniqueness for inverse source problems of determining a space-dependent source in thermoelastic systems
Frederick Maes
Karel Van Bockstal
A1
Journal Article
in
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
2022
2021
A time discrete scheme for an electromagnetic contact problem with moving conductor
Van Chien Le
Marian Slodicka
Karel Van Bockstal
A1
Journal Article
in
APPLIED MATHEMATICS AND COMPUTATION
2021
Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor
Van Chien Le
Marian Slodicka
Karel Van Bockstal
A1
Journal Article
in
COMPUTERS & MATHEMATICS WITH APPLICATIONS
2021
Existence of a unique weak solution to a non-autonomous time-fractional diffusion equation with space-dependent variable order
Karel Van Bockstal
A1
Journal Article
in
ADVANCES IN DIFFERENCE EQUATIONS
2021
Thermoelastic problem in the setting of dual-phase-lag heat conduction : existence and uniqueness of a weak solution
Frederick Maes
Karel Van Bockstal
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2021
Uniqueness for inverse source problems of determining a space-dependent source in time-fractional equations with non-smooth solutions
Karel Van Bockstal
A1
Journal Article
in
FRACTAL AND FRACTIONAL
2021
2020
Existence and uniqueness of a weak solution to a non-autonomous time-fractional diffusion equation (of distributed order)
Karel Van Bockstal
A1
Journal Article
in
APPLIED MATHEMATICS LETTERS
2020
Existence of a unique weak solution to a nonlinear non-autonomous time-fractional wave equation (of distributed-order)
Karel Van Bockstal
A1
Journal Article
in
MATHEMATICS
2020
The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler–Bernoulli beam
Marijke Grimmonprez
Liviu Marin
Karel Van Bockstal
A1
Journal Article
in
APPLIED MATHEMATICAL MODELLING
2020
2019
Advanced COmputational Methods in ENgineering (ACOMEN 2017)
Marian Slodicka
Karel Van Bockstal
Iuliu Sorin Pop
Christophe Geuzaine
Rob De Staelen
Editorial material
2019
Identification of an unknown spatial load distribution in a vibrating beam or plate from the final state
Karel Van Bockstal
A1
Journal Article
in
JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
2019
Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation
Marian Slodicka
Katarina Šišková
Karel Van Bockstal
A1
Journal Article
in
APPLIED MATHEMATICS LETTERS
2019
2018
Reconstruction of a spatial load distribution in an Euler-Bernoulli beam from the final state
Karel Van Bockstal
C3
Conference
2018
Reconstruction of a temporial load distribution in an Euler-Bernoulli beam
Karel Van Bockstal
C3
Conference
2018
The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method
T. Kang
Karel Van Bockstal
R. Wang
A1
Journal Article
in
COMPUTERS & MATHEMATICS WITH APPLICATIONS
2018
2017
ACOMEN 2017 : book of abstracts
Book editor
2017
Data-driven discovery of the nonlinear dynamics in an electromechanical drivetrain using mixed norm inverse solver
Guillaume Crevecoeur
C3
Conference
2017
Error estimates for the time discretization of a semilinear integrodifferential parabolic problem with unknown memory Kernel
Marijke Grimmonprez
Karel Van Bockstal
Marian Slodicka
A1
Journal Article
in
NUMERICAL MATHEMATICS : THEORY, METHODS AND APPLICATIONS
2017
Identification of a memory kernel in a nonlinear integrodifferential parabolic problem
Karel Van Bockstal
Marian Slodicka
Fien Gistelinck
A1
Journal Article
in
APPLIED NUMERICAL MATHEMATICS
2017
Recovery of a space-dependent vector source in anisotropic thermoelastic systems
Karel Van Bockstal
Liviu Marin
A1
Journal Article
in
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
2017
Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III
Karel Van Bockstal
Marian Slodicka
A1
Journal Article
in
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
2017
The identification of a space-dependent load source in anisotropic thermoelastic systems
Karel Van Bockstal
C3
Conference
2017
The identification of a space-dependent load source in isotropic thermoelastic systems : numerical experiments
Karel Van Bockstal
C3
Conference
2017
The reconstruction of a time-dependent source from a surface measurement for full Maxwell’s equations by means of the potential field method
Karel Van Bockstal
C3
Conference
2017
2016
Recovery of a space-dependent vector source in an anisotropic thermoelastic system
Karel Van Bockstal
Liviu Marin
Marian Slodicka
C3
Conference
2016
2015
A macroscopic model for an intermediate state between type-I and type-II superconductivity
Karel Van Bockstal
Marian Slodicka
A1
Journal Article
in
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
2015
Determination of a time-dependent diffusivity in a nonlinear parabolic problem
Karel Van Bockstal
Marian Slodicka
A1
Journal Article
in
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
2015
Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination
Rob De Staelen
Karel Van Bockstal
Marian Slodicka
A1
Journal Article
in
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
2015
Error estimates for the full discretization of a nonlocal parabolic model for type-I superconductors
Karel Van Bockstal
Marian Slodicka
A1
Journal Article
in
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
2015
Identification of a memory kernel in a nonlinear parabolic integrodifferential problem
Karel Van Bockstal
Marian Slodicka
Fien Gistelinck
C3
Conference
2015
Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory
Karel Van Bockstal
Rob De Staelen
Marian Slodicka
A1
Journal Article
in
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
2015
Numerical techniques for partial differential equations in superconductivity and thermoelasticity
Karel Van Bockstal
Marian Slodicka
Dissertation
2015
Recovery of a space-dependent vector source in thermoelastic systems
Karel Van Bockstal
Marian Slodicka
A1
Journal Article
in
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
2015
The well-posedness of a nonlocal hyperbolic model for type-I superconductors
Karel Van Bockstal
Marian Slodicka
A1
Journal Article
in
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
2015
2014
A nonlocal parabolic model for type-I superconductors
Marian Slodicka
Karel Van Bockstal
A1
Journal Article
in
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
2014
Error analysis in the kernel reconstruction in a semilinear parabolic problem with integral overdetermination
Karel Van Bockstal
Rob De Staelen
Marian Slodicka
C3
Conference
2014
Recovery of a space-dependent vector source in a thermoelastic system with memory effects
Karel Van Bockstal
Marian Slodicka
C3
Conference
2014
The well-posedness of a mathematical model for an intermediate state between type-I and type-II superconductivity
Karel Van Bockstal
Marian Slodicka
C1
Conference
2014
2013
Determination of an unknown diffusion coefficient in a semilinear parabolic problem
Karel Van Bockstal
Marian Slodicka
A1
Journal Article
in
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
2013
Error estimates for the full discretization of a nonlocal model for type-I superconductors
Karel Van Bockstal
Marian Slodicka
C1
Conference
2013
2012
Nonlocal problems for superconductivity
Karel Van Bockstal
Marian Slodicka
C3
Conference
2012
Nonlocal problems for superconductivity
Karel Van Bockstal
Marian Slodicka
C3
Conference
2012
2011
Determination of an unknown diffusion coefficient in a parabolic problem
Karel Van Bockstal
C3
Conference
2011